Discrete Morse Theory for free chain complexes

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dc.creatorKozlov, Dmitry N.
dc.date2005-04-21
dc.date.accessioned2026-07-07T06:27:07Z
dc.date.available2026-07-07T06:27:07Z
dc.descriptionWe extend the combinatorial Morse complex construction to the arbitrary free chain complexes, and give a short, self-contained, and elementary proof of the quasi-isomorphism between the original chain complex and its Morse complex. Even stronger, the main result states that, if $C_*$ is a free chain complex, and $\cm$ an acyclic matching, then $C_*=C_*^\cm\oplus T_*$, where $C_*^\cm$ is the Morse complex generated by the critical elements, and $T_*$ is an acyclic complex.
dc.identifierhttps://arxiv.org/abs/cs/0504090
dc.identifierhttp://arxiv.org/abs/cs/0504090
dc.identifierComptes Rendus Mathematique, Acad. Sci. Paris, Ser. I 340 (2005), pp. 867-872
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97322
dc.subjectDiscrete Mathematics
dc.subjectRings and Algebras
dc.titleDiscrete Morse Theory for free chain complexes
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